Examples: 1. 3n O(n) True 2. logn 0(1) False Note: The doctests for this question are sanity checks, only indicating that you have put answers in the correct form. Equations: 1. n! + 2 = 0 (3") 2. log.n" + 15n= O(nlog(n)) 3. 10n992 + n = O(n) 4. logn log₁n = O(log₂n) 12 3 logon n 5. 6 * log(n) + = O(n) n log₂√n 6. log √√n = 0(1) 7. == 0(1) n(2n+1)+ 3n+2 n 8. log(logn) + log₂n = O(logn) n 9. 10 + 912 10. = 0(n") 1+2+3+..+ (n/8 – 1) + n/8 = 0(n)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Complexity is an important concept in coding as we want our code to be as efficient as possible. Judge if the following equations about complexity hold. Write your answer (True or False) in the complexity_tf() function, which returns your answers as a list of 10 boolean values. In this list, write your answer to the first equation at index 0, second equation at index 1, etc. 

 

def complexity_tf():
    """
    Write your answers to time complexity True/False questions in this
    function. No new doctests required.

    >>> answers = complexity_tf()
    >>> isinstance(answers, list)
    True
    >>> len(answers)
    10
    >>> all([isinstance(ans, bool) for ans in answers])
    True
    """
    # REPLACE ... WITH YOUR ANSWERS (True/False) #
    return []

Examples:
1. 3n O(n) True
2. logn
0(1) False
Note: The doctests for this question are sanity checks, only indicating that you have put
answers in the correct form.
Equations:
1. n! + 2 = 0 (3")
2. log.n" + 15n=
O(nlog(n))
3. 10n992 + n = O(n)
4. logn log₁n = O(log₂n)
12
3
logon
n
5. 6
* log(n) +
=
O(n)
n
log₂√n
6.
log √√n
= 0(1)
7.
==
0(1)
n(2n+1)+ 3n+2
n
8. log(logn) + log₂n = O(logn)
n
9. 10 + 912
10.
=
0(n")
1+2+3+..+ (n/8 – 1) + n/8 = 0(n)
Transcribed Image Text:Examples: 1. 3n O(n) True 2. logn 0(1) False Note: The doctests for this question are sanity checks, only indicating that you have put answers in the correct form. Equations: 1. n! + 2 = 0 (3") 2. log.n" + 15n= O(nlog(n)) 3. 10n992 + n = O(n) 4. logn log₁n = O(log₂n) 12 3 logon n 5. 6 * log(n) + = O(n) n log₂√n 6. log √√n = 0(1) 7. == 0(1) n(2n+1)+ 3n+2 n 8. log(logn) + log₂n = O(logn) n 9. 10 + 912 10. = 0(n") 1+2+3+..+ (n/8 – 1) + n/8 = 0(n)
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